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1124122340 = 2251143331359
BaseRepresentation
bin100001100000000…
…1011111011100100
32220100020022221202
41003000023323210
54300233403330
6303313502032
736566611415
oct10300137344
92810208852
101124122340
115275a0830
12274571918
1314bb78563
14a941b80c
1568a4d445
hex4300bee4

1124122340 has 96 divisors (see below), whose sum is σ = 2650475520. Its totient is φ = 396950400.

The previous prime is 1124122303. The next prime is 1124122343. The reversal of 1124122340 is 432214211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1124122343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3131081 + ... + 3131439.

It is an arithmetic number, because the mean of its divisors is an integer number (27609120).

Almost surely, 21124122340 is an apocalyptic number.

1124122340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325237760).

1124122340 is an abundant number, since it is smaller than the sum of its proper divisors (1526353180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1124122340 is a wasteful number, since it uses less digits than its factorization.

1124122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1124122340 is about 33527.9337269686. The cubic root of 1124122340 is about 1039.7713809603.

Adding to 1124122340 its reverse (432214211), we get a palindrome (1556336551).

The spelling of 1124122340 in words is "one billion, one hundred twenty-four million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 331 359 430 473 662 718 860 946 1324 1436 1655 1795 1892 2365 3310 3590 3641 3949 4730 6620 7180 7282 7898 9460 14233 14564 15437 15796 18205 19745 28466 30874 36410 39490 56932 61748 71165 72820 77185 78980 118829 142330 154370 156563 169807 237658 284660 308740 313126 339614 475316 594145 626252 679228 782815 849035 1188290 1307119 1565630 1698070 2376580 2614238 3131260 3396140 5109647 5228476 6535595 10219294 13071190 20438588 25548235 26142380 51096470 56206117 102192940 112412234 224824468 281030585 562061170 1124122340